Mehler kernel approach to Fourier ultra-hyperfunctions

Masanori Suwa

doi:10.1080/17476933.2020.1828376

Mehler kernel approach to Fourier ultra-hyperfunctions

Masanori Suwa

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper we shall characterize the space of Fourier ultra-hyperfunctions by the Mehler kernel method. That is, we show that any Fourier ultra-hyperfunctions are characterized as initial values of the solutions of Hermite heat equation.

Original language	English
Journal	Complex Variables and Elliptic Equations
DOIs	https://doi.org/10.1080/17476933.2020.1828376
Publication status	Accepted/In press - 2020

Keywords

46F15
46F20
Hermite heat equation
Hyperfunctions
Mehler kernel

ASJC Scopus subject areas

Analysis
Numerical Analysis
Computational Mathematics
Applied Mathematics

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10.1080/17476933.2020.1828376

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title = "Mehler kernel approach to Fourier ultra-hyperfunctions",

abstract = "In this paper we shall characterize the space of Fourier ultra-hyperfunctions by the Mehler kernel method. That is, we show that any Fourier ultra-hyperfunctions are characterized as initial values of the solutions of Hermite heat equation.",

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author = "Masanori Suwa",

year = "2020",

doi = "10.1080/17476933.2020.1828376",

language = "English",

journal = "Complex Variables and Elliptic Equations",

issn = "1747-6933",

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KW - 46F20

KW - Hermite heat equation

KW - Hyperfunctions

KW - Mehler kernel

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SN - 1747-6933

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Mehler kernel approach to Fourier ultra-hyperfunctions

Abstract

Keywords

ASJC Scopus subject areas

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